基于SPH方法实用堰水流的数值模拟
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摘要
以数值模拟实用堰水流为目标,采用光滑质点水动力学方法,根据流量与上游水深关系,得到SPH方法推板模型入流边界。针对SPH方法明渠流动中的入流边界问题,利用添加推板模型的SPH方法对二维实用堰溢流水力特性进行数值模拟,获得实用堰水流水力特性,并进行物理模型试验,验证添加推板模型SPH方法的有效性。通过对流场、断面平均流速对比分析,结果表明:推板模型结果与试验结果吻合较好,推板模型可以准确的描绘水流运动状态;通过流量对比分析,在溢流过程中,推板模型与试验结果平均值相差-1.43%,推板模型可以保持实用堰上游水位恒定,提高计算精度。研究成果初步验证了推板模型的可靠性,为SPH方法入流问题提供了新的解决方法,具有一定的参考价值。
Aiming at numerically simulating the practical weir flow,the inflow boundary of the push-plate model for SPH( Smoothed Particle Hydrodynamics,the same below) method is obtained with SPH method in accordance with the relationship between flow rate and the upstream water depth. For the problem of the inflow boundary in the open-channel flow in SPH method,a numerical simulation is made on the hydraulic characteristics of the overflow of a 2-D practical weir by the SPH method added with push-plate model,and then the characteristics of practical weir flow is obtained,while a physical model experiment is made as well,so as to verify the effectiveness of the SPH method added with push-plate model. Through the comparative analysis made between flow field and cross-sectional mean flow velocity,it is indicated that the result from the SPH method added with pushplate model is better coincided with that from the experiment,thus the push-plate model can correctly describe the status of flow movement. It is known through the comparative analysis of flow rate that a difference of-1. 43% is therein between the mean value of the result from the push-plate model and that of the experiment result,thus the push-plate model can keep the upstream water level of the practical weir steady and then enhance the calculation accuracy. The study result not only preliminarily verifies the reliability of the push-plate model,but also provides a method to solve the inflow problem in SPH method,and then has a certain referential value.
Aiming at numerically simulating the practical weir flow,the inflow boundary of the push-plate model for SPH( Smoothed Particle Hydrodynamics,the same below) method is obtained with SPH method in accordance with the relationship between flow rate and the upstream water depth. For the problem of the inflow boundary in the open-channel flow in SPH method,a numerical simulation is made on the hydraulic characteristics of the overflow of a 2-D practical weir by the SPH method added with push-plate model,and then the characteristics of practical weir flow is obtained,while a physical model experiment is made as well,so as to verify the effectiveness of the SPH method added with push-plate model. Through the comparative analysis made between flow field and cross-sectional mean flow velocity,it is indicated that the result from the SPH method added with pushplate model is better coincided with that from the experiment,thus the push-plate model can correctly describe the status of flow movement. It is known through the comparative analysis of flow rate that a difference of-1. 43% is therein between the mean value of the result from the push-plate model and that of the experiment result,thus the push-plate model can keep the upstream water level of the practical weir steady and then enhance the calculation accuracy. The study result not only preliminarily verifies the reliability of the push-plate model,but also provides a method to solve the inflow problem in SPH method,and then has a certain referential value.
引文
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[6]顾声龙,吴玉帅,解宏伟,等.基于CSPM方法对二维管嘴出流的数值模拟[J].水利水电技术,2016,47(9):39-43.
[7]LPEZ D,MARIVELA R,GARROTE L.Smoothed particle hydrodynamics model applied to hydraulic structures:a hydraulic jump test case[J].Journal of hydraulic research,2010,48(S1):142-158.
[8]DE PADOVA D,MOSSA M,SIBILLA S,et al.3D SPH modelling of hydraulic jump in a very large channel[J].Journal of hydraulic research,2013,51(2):158-173.
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[10]杜小弢,吴卫,龚凯,等.二维滑坡涌浪的SPH方法数值模拟[J].水动力学研究与进展(A辑),2006,12(5):579-586.
[11]WATANABE Y,SAEKI H.Three-dimensional large eddy simulation of breaking waves[J].Coastal engineering journal,1999,41(3-4):281-301.
[12]刘瑛琦.基于SPH方法的数值波浪水槽研究[D].南京:河海大学,2006.
[13]BENZ W,ASPHAUG E.Simulations of brittle solids using smooth particle hydrodynamics[J].Computer physics communications,1995,87(1-2):253-265.
[14]张驰,张雨新,万德成.SPH方法和MPS方法模拟溃坝问题的比较分析[J].水动力学研究与进展(A辑),2011,26(6):736-746.
[2]侯明瑞.溢流堰面水流的数值模拟[J].山西建筑,2016,42(5):238-239.
[3]MONAGHAN J J.Simulating free surface flows with SPH[J].Journal of computational physics,1994,110(2):399-406.
[4]LIBERSKY L D,RANDLES P W,CARNEY T C,et al.Recent improvements in SPH modeling of hypervelocity impact[J].International journal of impact engineering,1997,20(6-10):525-532.
[5]SWEGLE J W,ATTAWAY S W.On the feasibility of using Smoothed Particle Hydrodynamics for underwater explosion calculations[J].Computational mechanics,1995,17(3):151-168.
[6]顾声龙,吴玉帅,解宏伟,等.基于CSPM方法对二维管嘴出流的数值模拟[J].水利水电技术,2016,47(9):39-43.
[7]LPEZ D,MARIVELA R,GARROTE L.Smoothed particle hydrodynamics model applied to hydraulic structures:a hydraulic jump test case[J].Journal of hydraulic research,2010,48(S1):142-158.
[8]DE PADOVA D,MOSSA M,SIBILLA S,et al.3D SPH modelling of hydraulic jump in a very large channel[J].Journal of hydraulic research,2013,51(2):158-173.
[9]HUSAIN S M,MUHAMMED J R,KARUNARATHNA H U,et al.Investigation of pressure variations over stepped spillways using smooth particle hydrodynamics[J].Advances in water resources,2014,66:52-69.
[10]杜小弢,吴卫,龚凯,等.二维滑坡涌浪的SPH方法数值模拟[J].水动力学研究与进展(A辑),2006,12(5):579-586.
[11]WATANABE Y,SAEKI H.Three-dimensional large eddy simulation of breaking waves[J].Coastal engineering journal,1999,41(3-4):281-301.
[12]刘瑛琦.基于SPH方法的数值波浪水槽研究[D].南京:河海大学,2006.
[13]BENZ W,ASPHAUG E.Simulations of brittle solids using smooth particle hydrodynamics[J].Computer physics communications,1995,87(1-2):253-265.
[14]张驰,张雨新,万德成.SPH方法和MPS方法模拟溃坝问题的比较分析[J].水动力学研究与进展(A辑),2011,26(6):736-746.